en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (1/4 x)(1/3 x^3)

Solution

simplify

(\frac{1}{4} x) (\frac{1}{3} x^{3})

Solution

\frac{x ^{4}}{12}

Solution steps

(\frac{1}{4} x) (\frac{1}{3} x^{3})

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

x x^{3} = x^{1 + 3}

= \frac{1}{4} \cdot \frac{1}{3} x^{1 + 3}

Add the numbers:

1 + 3 = 4

= \frac{1}{4} \cdot \frac{1}{3} x^{4}

Multiply fractions:

a \cdot \frac{b}{c} \cdot \frac{d}{e} = \frac{a \cdot b \cdot d}{c \cdot e}

= \frac{1 \cdot 1 \cdot x ^{4}}{4 \cdot 3}

Refine

= \frac{x ^{4}}{12}

Popular Examples

simplify e^{-(0.1)^2}simplify

e^{- (0.1)^{2}}

simplify e^{-2}*e^6 simplify

e^{- 2} \cdot e^{6}

simplify e^{-rt}((ke^{rt})/r+C)simplify

e^{- r t} (\frac{k e ^{r t}}{r} + C)

simplify (e^{-1})^{e^{-1}}simplify

(e^{- 1})^{e^{- 1}}

simplify (x+3)^2(x+2)^2 simplify

(x + 3)^{2} (x + 2)^{2}

Frequently Asked Questions (FAQ)

What is (1/4 x)(1/3 x^3) ?
The solution to (1/4 x)(1/3 x^3) is (x^4)/(12)